{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "7f201bef-5545-42b3-a701-c2f8eb34b851",
   "metadata": {},
   "source": [
    "# Introduction to Transaction Costs in Backtesting\n",
    "The realism and effectiveness of backtesting largely hinge on accurately accounting for transaction costs. These costs can significantly impact the profitability and viability of a trading strategy. Note that if you want an ultra realistic backtest - the closest you can get is an event driven engine, a vectorised backtest will only give us a heuristic measure, which is good enough for 90% of professional traders. \n",
    "\n",
    "There are three primary types of transaction costs that traders need to consider in a backtest:\n",
    "\n",
    "1. **Commissions**\n",
    "Commissions are fees levied by brokers for executing trades. They can vary widely based on the broker's pricing structure, the asset class, and the volume of the trade. Commissions can either be a fixed fee per trade, a percentage of the trade value, or based on the number of shares or contracts traded.\n",
    "\n",
    "* **Best Practices**\n",
    "    * Broker-Specific Calculation: Ensure that the commission structure in your backtest mirrors the structure of the broker you plan to use for live trading.\n",
    "    * Tiered Structures: If your broker uses a tiered commission structure, make sure your backtest accounts for varying rates at different volume thresholds.\n",
    "    * Impact on Strategy: Pay attention to strategies involving frequent trades, such as day trading or high-frequency trading, where commission costs can quickly accumulate and significantly impact net returns.\n",
    "\n",
    "2. **Bid-Ask Spread**\n",
    "The bid-ask spread is the difference between the highest price a buyer is willing to pay (bid) and the lowest price a seller is willing to accept (ask). This spread is a cost to traders, and it's particularly relevant for assets with lower liquidity, where spreads can be wider.\n",
    "\n",
    "* **Best Practices**\n",
    "\n",
    "    * Historical Spreads: Utilize historical spread data to estimate average spreads for the assets in your strategy.\n",
    "    * Intraday Trading: For intraday trading strategies, consider using intraday spread data, as spreads can vary significantly throughout the trading day.\n",
    "    * Asset Liquidity: Be mindful of asset liquidity, as illiquid assets often have wider spreads, which can erode profits, especially in large trades.\n",
    "\n",
    "3. **Market Impact**\n",
    "Market impact refers to the effect that a trader's orders have on the market price of an asset. Particularly with large orders, a trader’s activity can shift the market price, leading to slippage – the difference between the expected price of a trade and the price at which the trade is actually executed.\n",
    "\n",
    "* **Best Practices**\n",
    "\n",
    "    * Size Matters: The larger the order relative to the market volume, the greater the potential market impact. Factor this into strategies involving large trades.\n",
    "    * Modeling Market Impact: Utilize market impact models, like the linear cost model - or the square root model, which proposes that the impact is proportional to the square root of the order size.\n",
    "    * Adaptive Strategies: Consider strategies that minimize market impact, such as breaking up large orders into smaller ones or using algorithmic execution strategies that adapt to market conditions.\n",
    "    \n",
    "## Extra Costs:\n",
    "If you want to go even further, you can add (**Note**: I don't know many people who added these in a vectorised setting):\n",
    "* Borrowing costs for short selling.\n",
    "* Swap Rates and Financing Costs for Forex.\n",
    "\n",
    "---\n",
    "\n",
    "## Replicate the Momentum Strategy\n",
    "\n",
    "Below we replicate the volatility targeted momentum strategy that we built in the previous tutorial."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "562f1cef-7adc-4233-a23c-bb54163fc30c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import libraries\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import yfinance as yf\n",
    "import quantstats as qs\n",
    "\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7b75abd7-397a-4e92-8fef-8c416d7df8a4",
   "metadata": {},
   "source": [
    "## Fetching SPX Adj Close Price Data from Yahoo Finance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2c2d6540-140c-4fb3-ac9d-aedc1936389a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[*********************100%%**********************]  1 of 1 completed\n"
     ]
    }
   ],
   "source": [
    "# Downloading S&P 500 index data from Yahoo Finance\n",
    "spx = yf.download('SPY', start='2000-01-01', end='2023-01-01')\n",
    "\n",
    "# Extracting the closing prices\n",
    "close_prices = spx['Close']\n",
    "volume = spx['Volume']"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "384636a8-753a-4520-9614-e46b4bda7a78",
   "metadata": {},
   "source": [
    "##### Visualizing S&P 500 Closing Prices\n",
    "Visual representation of data is vital for a better understanding of market trends. Here, we plot the closing prices of the S&P 500 Index."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "aa765d71-57cc-48e3-9123-51955aa44779",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the S&P 500 closing prices\n",
    "close_prices.plot(figsize=(10, 7), linewidth=1.5)\n",
    "plt.title('S&P 500 Close Prices (1991-2023)', fontsize=14)\n",
    "plt.xlabel('Year', fontsize=12)\n",
    "plt.ylabel('Price (USD)', fontsize=12)\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e7b4c9d-4cb4-4b2a-b201-54a85dfdab15",
   "metadata": {},
   "source": [
    "### Moving Average Crossover Strategy from Previous Tutorial"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "12c3885a-2790-466a-831b-340c5e7fe7ec",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculating Moving Averages (Indicators)\n",
    "short_window = 50\n",
    "long_window = 252\n",
    "\n",
    "short_ma = close_prices.rolling(window=short_window, min_periods=short_window).mean()\n",
    "long_ma = close_prices.rolling(window=long_window, min_periods=long_window).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fd83abf7-08b8-4a3f-a49e-6f95cb7be206",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generating Trading Signals\n",
    "signals = pd.DataFrame(index=close_prices.index)\n",
    "signals['signal'] = 0.0  # Set the default to be 0\n",
    "signals['short_ma'] = short_ma\n",
    "signals['long_ma'] = long_ma\n",
    "\n",
    "# When the short is above the long, buy - else go short sell.\n",
    "# Note that our signal is just a simple buy or sell, -1 or 1.\n",
    "signals['signal'][signals['short_ma'] > signals['long_ma']] = 1\n",
    "signals['signal'][signals['short_ma'] < signals['long_ma']] = -1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "748b3dc9-8ced-40be-b491-38adbaa570aa",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the target volatility level\n",
    "tgt_vol = 0.15\n",
    "\n",
    "# Calculate daily percentage returns of SPX\n",
    "spx_returns = close_prices.pct_change()\n",
    "\n",
    "# Calculate the rolling annual standard deviation of SPX returns\n",
    "signals['stdev'] = spx_returns.rolling(22).std() * np.sqrt(252)  # Convert to annualized standard deviation\n",
    "\n",
    "# Calculate volatility target weights\n",
    "signals['vol_tgt'] = tgt_vol / signals['stdev']\n",
    "\n",
    "# Clip weights to a maximum of 1 to avoid leverage\n",
    "# Here we use 2x leverage to make sure we can hit our volatility target of 15%\n",
    "signals['vol_tgt'] = signals['vol_tgt'].clip(0, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "31283017-cfcf-4f99-bcf2-8abc60f029ce",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Adjust the signal by the volatility target, lagging both to avoid look-ahead bias\n",
    "vol_signal = signals['signal'].shift(1) * signals['vol_tgt'].shift(1)\n",
    "\n",
    "# Compute returns for the volatility-targeted strategy\n",
    "strategy_voltgt_returns = spx_returns * vol_signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7d77b080-ab6c-49a5-b964-e0c11e6a94ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the cumulative rets (compounded growth)\n",
    "((strategy_voltgt_returns + 1).cumprod()-1).plot(title='Cum Rets')\n",
    "plt.ylabel('Total Returns')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "68ea82ca-fd73-409f-9e8b-29f7e405c1bb",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Computing Turnover to Calculate Transaction Costs\n",
    "\n",
    "Since transaction costs arise primarily through trading activities, it's pivotal to focus on turnover to gauge these expenses effectively. Turnover, in this context, refers to the frequency and volume of trades within a portfolio.\n",
    "\n",
    "Recall how we implemented volatility targeting to determine the percentage of our portfolio to be allocated at any given time? Turnover takes this a step further by measuring the daily fluctuation in our positions. Essentially, it's the rate at which securities are replaced or \"turned over\" in the portfolio. This metric is calculated as the absolute difference in our position sizes from one day to the next, providing a clear picture of how frequently and significantly we adjust our holdings. Understanding and calculating turnover is crucial as it directly correlates with the frequency of incurred transaction costs, thereby impacting the overall performance of the trading strategy.\n",
    "\n",
    "**Note:**\n",
    "* Shift the turnover by -1 becuase the vol_signal is the position we held at time t, and we need to know the date when the transaction occurred, which was the day before."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a7379c60-a87f-46a8-9d96-a4cd03fa4928",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "turnover = abs(vol_signal.diff())\n",
    "\n",
    "# Shift by -1 to get the date at which the transaction occurred, which was at close yesterday.\n",
    "turnover = turnover.shift(-1)\n",
    "\n",
    "# Plot Turnover\n",
    "turnover.plot(title='Turnover', figsize=(14, 5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec6aa8dc-2c03-4733-9a59-042bb9031ca8",
   "metadata": {
    "tags": []
   },
   "source": [
    "---\n",
    "## Incorporating Brokerage Fees in Backtesting\n",
    "\n",
    "Brokerage fees, a crucial factor in the profitability of trading strategies, vary widely among brokers and are typically measured in basis points. A basis point is a unit of measure used in finance to describe the percentage change in the value or rate of a financial instrument. One basis point is equivalent to 0.01% (1/100th of a percent) or 0.0001 in decimal form. For instance, if a broker charges 10 basis points as a commission, it means they are charging 0.10% of the trade value.\n",
    "\n",
    "During my early career at a hedge fund, we typically encountered brokerage fees ranging from 14 to 20 basis points per trade. Such costs are quite variable and heavily depend on factors like the scale of your operations and the nature of your relationship with your broker. Larger funds often negotiate lower fees due to high-volume trading, while retail traders usually face higher rates.\n",
    "\n",
    "Interestingly, in some scenarios, such as at one of the funds I worked with, trading could actually yield rebates, effectively paying us to trade. This is a prime example of how transaction costs can be highly specific to the organization you're associated with. \n",
    "\n",
    "When applying brokerage fees in backtesting, it's vital to:\n",
    "\n",
    "1. **Research and Use Accurate Fees:** Determine the specific brokerage fees applicable to your fund or individual trading scenario. This requires understanding the fee structure of your broker and converting these fees into basis points for accurate calculation.\n",
    "\n",
    "2. **Consider Your Fund's Scale:** Remember, the larger your fund and the more substantial your trading volume, the lower your negotiated fees might be. Incorporate these negotiated rates into your backtesting model if applicable.\n",
    "\n",
    "3. **Account for Retail vs Institutional Differences:** If you are backtesting a strategy as a retail trader, ensure that you use the fee rates that are relevant to retail trading accounts, which are typically higher than those for institutional traders.\n",
    "\n",
    "4. **Factor in Rebates if Applicable:** In cases where your trading strategy or volume qualifies for rebates, this should be factored into the cost calculations in your backtest, as it can significantly alter the cost-benefit analysis of your trades."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c30c6cab-0ce3-4421-8d58-869a8636c238",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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m6QXgZ8AYYCbQDNzkdwPq6+vp7u72u3rWtbS0UFtbG9jvy9AajPxubm6K+7uwj6faA60A1NXVU9LVEnBq+qbzu7gk57fyvrD5Ob87OzsAOHjwILW1vkYWyAAM5jmn63lxic/v0tJSKioqUq7r58xONclCt891vJZ1A1hrb4t7r90YczPwQzIIhtJt3FCora1lwoQJgaZBhs5g5PeYMY2xv0ePHlUUx1NlZQUTDhkVdDL6pPO7uCTnt/K+sPk5v8vLywEYN26cjochMJj7WNfz4pJJfvuZTW4LcHT0hTFmEtAO7E+zTilwBE4rUMIy9+/oxArfMsacEresBOjwlXIRERGRQaRuciKFz08w9CIQMsac5L6+FGcMUGfcOguAccaYT7ivpwCrrLU7gBnAucaYI40xJYABnnbXOw24xhhTZowZBXwXeHQgGySSbzQwV0Qkt5Xo4dgiBavPYMhauxf4GvCIMWY1cBZwmTHmKGPMEmPMUdbaDuAC4EZjzErgEuCr7ueXA1cBLwNrgJHANe7X/xRoAZYDy4C3AJu1rRMREREZoAhqIhIpVL5GA1prZwOzPRadFrdOGDgzxeen4Uy1nfx+I/B1P2kQKQ6qfRQREREZKn66yYnIoIoPgFT7KCKSa9RNTqRwKRgSCZwCICkem3Y28NdnVxLRyHQREckBCoZERGTI/PSO13nqtfU0tXb2vbKIiMggUzAkEjh1v5DiEW0P0lEvIiK5QMGQiIiIiIgUJQVDIiIiIumoKVOkYCkYEgmYHroqIiKCJlaRQCgYEhERERGRoqRgSEREREREipKCIZGAqZeciIiISDAUDIkETD2kRURyk4awDC3tbwmCgiERERERESlKCoZEAqZuciIiuUmzfYoUPgVDIiIiIh7UbUuk8CkYEhEREUlDLURDQ7GnBEHBkEjQdJcVEclpaiESKVwKhkRyigIjERERkaGiYEgkp6j6UUQk16gBX6RwKRgSCZjusSIiuSmiCqqhpf6IEgAFQyIB06VfREREJBgKhkREREQ8lKjtXqTgDfOzkjHmHOAGYASwErjYWluftM4ZwB3AWKAGmGKt3e4uuwi4AigH5gDfs9a2JX3+KWCPtfbSAWyPiIjkMPWCkXyibnIiha/PliFjzETgAeBCa20VsAK4OWmd4cCTwI+stScBDwLT3GWnAtcBnwROBIYDVyZ9/grg4wPdGJF8pHpHEZHcphaioaHQU4Lgp5vc2cAia221+/pO4CvGmPhWpdOBZmvtXPf1A8AZxpijgfOBmdba3dbaCHAXMCX6QWPMJ4HPuu+LiEgB06xcko/UQiRSuPwEQ5OBbdEX1toanO5uE9Os04XTVe7Y5GXAdvd9jDFHAbcCXwW6+rUFIgVFJUURERGRoeJnzFCqgKnb5zpey7qNMeXA34HLrbW7jDE+ktJbfX093d3dfa84SFpaWqitrQ3s92VoDUZ+NzU1xv5ubmkuiuOprq6ekq6WoJPRJ53f2RdxBw3V1dXR1uJr2OqQSc5v5X1h83N+d3Z0AnDw4EFqa8uGIllFrba2lmFlgzO3l67nxSU+v0tLS6moqEi5rp870RbixvMYYyYB7cD+pHWOjlunFDgCpxVoC3BM3LpHu++HgOOBm91A6AhgmDFmhLX2mz7SBZB244ZCbW0tEyZMCDQNMnQGI7/Hjm2O/T161KiiOJ4qKyuYcMiooJPRJ53f2Vfi9pOrrKxkzKjygFOTKDm/lfeFzc/5PazcKSaNHzdex8MQqKycQPmwwQmGdD0vLpnkt58j7kUgZIw5yX19Kc4YoM64dRYA44wxn3BfTwFWWWt3ADOAc40xRxpjSgADPG2tfctaO9lae5q19jScMUNPZBIIiYhIapt2NnDe1OlUb1FtqIiIiJc+gyFr7V7ga8AjxpjVwFnAZcaYo4wxS4wxR1lrO4ALgBuNMSuBS3DGAWGtXQ5cBbwMrAFGAtcMwraIiEic8OrdALy9oibglPTQ1NoiIpJLfHXYttbOBmZ7LDotbp0wcGaKz0/DnWo7zW9c4yctIiKSmYgiEBEREU+D0zFTJEds232QR16s7ntFERkSmlpbgrZhez3tHf4msFU9wlDTDpehp2BICtpP73ydh2evoamlI+ikpKSH+YmIDI3aA61cfstcbn98SdBJEZEcoWBIClp7R3DTrvePAiMRkcHS3OpUjK3dWhdwSkQkVygYkgLnNLmra46IiPSb7iEiBUvBkEjQEm6y6i8t2VOSg7UAGoMhIqno+iBBUDAkBU0XVpHcPA9yME4TEZEipGBIikIu1pCLDLboUZ+DsVBOBmgiIlJ8FAxJQVN5S4pZLtYB5GKaRESkeCkYkqKg8peIiEhuUwWmBEHBkBQ0dcUREZGBUoWaSOFSMCSFLRoN5fCdTN2GZLBFVCsgMiA6g0QKl4IhkZyiyEiyKfeOJ8VlEiQdf7lNFTcSBAVDIiIeNu86wBvLdwedjIKlFlHJJzpcRQrXsKATIDKY8qGOqSThNpsPKS4O3/vDHADO+9eTAk5JYVIFsAQh0yBcLRUihU8tQ1LQdB8TyS1qERIRkVyiYEgKnKIhKV4KPEQGRg/sHmK6ZUsAFAyJiBQ4tZCK9I+6yYkUPgVDUhx0P5MiFK3UjugEEBkQtRCJFC4FQ1LQVKknklt0TkquWL25no7OLl/rqoVIpHApGJKClhe3r5KUL0QKliraJUg79jZxw9+Wc8/0FUEnReLkxT1bCo6CIRGRgpW7EYcq2iUXbNt90Nd66iYnUrgUDElhU4lLJKeqW1WmFBGRXOLroavGmHOAG4ARwErgYmttfdI6ZwB3AGOBGmCKtXa7u+wi4AqgHJgDfM9a22aMORS4F3gfUAY8aK397cA3SyRRDpUFe0ksG+ZySiXfKPAQSZRcP6b6MhHps2XIGDMReAC40FpbBawAbk5aZzjwJPAja+1JwIPANHfZqcB1wCeBE4HhwJXuR38HVFtrPwicAVxqjPl4FrZLBFBoISIiki80UYUEwU83ubOBRdbaavf1ncBXjDHxrUqnA83W2rnu6weAM4wxRwPnAzOttbuttRHgLmCKu97/AFe7fx+BEyjV9XtrREQkp6msI0FSa6mIJPPTTW4ysC36wlpbY4wpByYCu1Ks02WMqQGOTV4GbHffxw2OOo0xjwIXAE8BqzPZgPr6erq7uzP5SFa1tLRQW1sb2O9LetGCV11dHS3Dywb8fYOR342NjbG/m5uL43iqq6unpKsl6GT4ks/50dzcDEBLa2vObEe05reuro62Fl89tYdM8vmdK/tMsqehoTnhdUdHR9p87ujoBODAgQPU1iqSGmx1dXW0jhic64LKa8UlPr9LS0upqKhIua6fIy5V61G3z3W8liVEL9baLxljxgFPA78AfukjXQBpN24o1NbWMmHChEDTIH2rrKxkVBYusIOR32PHtsb+Hj16VFEcT5WVFUw4ZFTQyfAln/NjzGinoX3kyJE5sx3RWbkqKysZM6o84NQkSj6/c2WfSfY0dyYec8OGDUubz8OGOfeN8ePH63gYApWVlYweOTjXBZXXiksm+e2nm9wW4OjoC2PMJKAd2J9mnVKcbm/bk5e5f0cnVjjHGHM4gLX2IPAo8GFfKRcpSKp5lOzLxX74uZciKQY5eCqISMD8BEMvAiFjzEnu60txxgB1xq2zABhnjPmE+3oKsMpauwOYAZxrjDnSGFMCGJwWoOh6VwEYY0YBXwReHcD2iHjKxcKgyKDLwdhaYzZERCSX9BkMWWv3Al8DHjHGrAbOAi4zxhxljFlijDnKWtuBM+bnRmPMSuAS4Kvu55fjBDwvA2uAkcA17td/DzjaGLMcWAi8Ddyavc0TyX0qHEohiUQiPDVnPQ2NbUEnRaRPqicTEV+DKKy1s4HZHotOi1snDJyZ4vPTcKfaTnp/H/BfftIgUhx0Z5ZBMISH1bpt9fx15kqWrt/Lr7591tD9sIgPqnwSkWR+usmJiEgeKgmgn1xnlzM/TnNLh+dy1cSLSCq6PkgQFAyJBE5VlTK4hrJ8EQ3AVKaRXJRc2NZ4UhFRMCQiIlmjbkgiIpJPFAyJiMjQU428iIjkAAVDIiIFKtBWmhSxjlqOJEjJx59C8tyi/JAgKBgSySkqKUr2Dem4CPcQjqhYIyLAtFmrOG/q9KCTIZKSgiERkQIVRGjd12+qd5zkFB2Pg+7xV9YFnQSRtBQMSVHI5QKYug3JYMvhw19kSOXyvUBEgqFgSCSn6E4tWRRgpK1Cp4hkTBeOIXOwuZ3bH19CW0dX0EkJnIIhERHJmpISPWdI8ofGtkmxevD51cx+ewuvLNwadFICp2BIJGDF0ktODzcMUA7u+hxMkhSBXrPJ9XEg6rolBUuHdoyCIRGRNPK5MJSL49FyMU0ifcnn64CIFx3RPRQMiYikUQhloEA2oRB2nBScTA/LEkXvQ0pXjaGnI1zBkBSJ/LnA6rIk+a0k9pwhb4qRJJf0dTiqRUgKlY7tHgqGRETS0O0iMyUK6EVE8odaPxUMiYiklce1Z7rFiSTqVe7L4/NbRLJDwZBIwNQnXQZbEN0hVMaUQqLDeWjouiFBUDAkklMK906Qrze5PE22I4hAO/qTfU5ZPOgpEelFx52IJFMwJMVBd0CRIdFX+KWGUMklujMMHQ3Yz026JCsYEgmerkQ5Tffv/omkKGZqf0ou6fOhq0OTDBEJkIIhEZG0VBzKhMbASUHSZWDA/FSEqPVo6GhX91AwJJJTVJCU7IkN3wngpqcbreQixeoiiXROwDA/KxljzgFuAEYAK4GLrbX1SeucAdwBjAVqgCnW2u3usouAK4ByYA7wPWttmzFmNHA7cDpOYPYO8F1rbfOAt0xEJAvyuVAfyPwJurFKDut1Pufx+Z1v8nlXv/DWZkaOGMYnPnxM0EmRQdBny5AxZiLwAHChtbYKWAHcnLTOcOBJ4EfW2pOAB4Fp7rJTgeuATwInAsOBK92P/hwnIPsH4EPAKOCqAW+ViEiW5PMNXEREBu6OJ5Zy09/eDToZMkj8dJM7G1hkra12X98JfMUYE9+qdDrQbK2d675+ADjDGHM0cD4w01q721obAe4CprjrvQZca63tttZ2AYuB9wxkg0S8qEAbPOWBxNPYAMkFqSb66O96kobO+Zyia3APP93kJgPboi+stTXGmHJgIrArxTpdxpga4NjkZcB2932stbOjbxpjjgMuB/43kw2or6+nu7s7k49kVUtLC7W1tYH9vvhTV1dHR2v5gL9nMPK78eDB2N/Nzc0Fezx1d/dceOvq6inpaunX99z77FrOPGUiHzyhMltJS6u2tpYR5WVD8lvZ1tTUBEBra+uQHVcNDc5vdnZ2pvhN5zior6+nq33g52Q2JZ/fhXouFrLuSIQDjR1UjBvuubyhIbEXfldnV9p87uzsBODggYPU1ubndSBX1NbVUVaavh9tXV0dXe3eeTdQ2bh/F9I1oa2tDYCmpsIsd8Tnd2lpKRUVFSnX9RMMpWo96va5jteyhOjFGPMR4GngdmvtdB9pikm3cUOhtraWCRMmBJoG6VtlZSXjRg/8AjsY+T1uXHvs79GjRxXs8dQVFwxVVFQwoWJUv75n/rLdzF+2m2dvOj9bSUursrKSkcN9Da/MOWPGOIH2iBEjhuy4OtDm7KvSsrIUv+kUhioqKjhk7IghSZNfyed3oZ6Lheyh51fz6Mtruf8XZ3PoIb2vMc2diQF42bBUx6lj2DDneB43fpyOhwGqrKxkWFn6DkmVlZWDdl3Ixv27kI6BESOc/TxmzJiC2q6oTPLbTze5LcDR0RfGmElAO7A/zTqlwBE4rUAJy9y/t8et+9/AS8BPrLXX+0q1iMhQUU+CjGj+BAlSeM1uAGoPtPpav8+eQjr/h5R6bg09TXrjLxh6EQgZY05yX1+KMwaoM26dBcA4Y8wn3NdTgFXW2h3ADOBcY8yRxpgSwOC0AmGM+TJwK3C2tfbhAW+NiEiW6d4skj/6Ktf1t7CtQvrAaR9Kruqz74e1dq8x5mvAI8aYETgtPVOMMUcBs4BzrLU7jTEXAHcYY8YC9cBX3c8vN8ZcBbzs/t67wDXu1//W/f9eY0z0J9+21l6ahW0Ticnli3DiQypVRSOFIZfPORHfdEkWKXi+OsK7Ex3M9lh0Wtw6YeDMFJ+fhjvVdtL7x/tKpUgB04wuuS2f8yeQ7g+x38zf/Sb5L2unrQ7jLNLOlNzkp5uciMjA5XFQke+GcterIl0ClWENQD5XdhQiTWE+dHTo91AwJBKwEo1elEESPbJyqYChw12C1O/jL3dOobylwndu0iVZwZCIBCCfbor5lNZckmq/aX9KkJKPPx2OQ0f7OrfkUiVZ0BQMieQUXZwkv0VbOhX0SBAyreXWcSrFTq31CoakSKhfuPRXPh85usmJDIxqz7PH131Yu1sCoGBIRCSdAgikC2ATAqFKlPyV7bxTUDS4VHETJO18BUMiIgUryJucCo8y9PoqVPdenv44LVFBMSNvr9jFq+Ft3gt1SZAc5es5QyIyeBJvzoV7483X+2C+pjso0eO5r4p5NbrIYEp1eGV63KlFKDPX/XUBAP8WmhxwSqQvugb3UMuQSMB0Qcptyh+R/KGWnNzl51Kqy60EQcGQiIhkjYJHySd+j1cd1yKFS8GQSMCKceBof7ueBDGgPZ8H0Qd5bOXvXuuRx1kvyruck8/X0kJWjGWQZAqGREQKXCCFEJV7JAg+x6xFqXwu/XX5La9x9V1vBJ0MyQJNoCCSU3RnluyJTWYQbDJEcpjOjlyST61HG7Y3BJ2ErFDLkFqGRAKnAb/+BdLAkT/35pyiWbikkOhoHly6Cw69fAo8B5uCISkKOueDpzyQeAqWZDBEC9U6vnKP7gGSqxQMieQU1Y/lmvwuVAV3POVKwafuQGu/P5sjmyCDKFeOUxEJjoIhkaAp/vEtkHJLIRSWCmEb+mHOu9v4+q9ms2ZLbdBJkTylYCl7tCtzi/Kjh4IhkaDpiiSDpNin1l6xYT8AW3YdCDglMlRK+jjokxf7Pk5z4YDOd4osc5RqZBUMicjQ6+89MYjnDA35L+Y3DcqVXJDqMMzG4Xn/zJW8Gt468C8SkZygqbVFRCT7FBRJgXpyznoA/i10bMApyS+6IuQmTa2tliEpEvkzCD5f0lk8CqGlowA2IRjacYVvkLN4d20zV/35DZpbOwb3hwqETrkhpH0do2BIRIbIwK+8unZnJsgKvz7zaggzUwWsoTVj/ga21OTHOK2+KsoGeuj87YXVLFu/j7eW7xrgN+W/tOehmieyZtWm/by+dIfv9bXnfXaTM8acA9wAjABWAhdba+uT1jkDuAMYC9QAU6y1291lFwFXAOXAHOB71tq2uM9WAPOAS6y1bw9oi4pEY0sHY0YO63OwqIjIULaMKu6Qe55ZwbCyUp7+3XlD/tvRW2K2W3T7ew5FP6Vbdfbs3NfIzX9bxDWXnMXYUeVBJyfnXHn76wB87Kaj066nSqIefbYMGWMmAg8AF1prq4AVwM1J6wwHngR+ZK09CXgQmOYuOxW4DvgkcCIwHLgy7rPnAu8AVVnYnqKwv6GFr1w9iydeXRd0UiTrdMfMNXl9wwiwBJZL+y2fCqIPvbCama9vDDoZ/RYNQjq7ugNOSXYM+NBxzwNVXGYvQH1kdjXVW+tYsLImK98n4qeb3NnAImtttfv6TuArxpj4VqXTgWZr7Vz39QPAGcaYo4HzgZnW2t3W2ghwFzAl7rPfB74KqA3Zp/0NzkME31SzuxSZIArYuVSol8L36EtrsU8vDzoZ/dadZ+dLX+f3QDen2/0BhUL++LneRmIB5uCmpdDlz1jqweenm9xkYFv0hbW2xhhTDkykJ4BJXqfLGFMDHJu8DNjuvh9d92wAY0y/NqC+vp7u7uBqoFpaWqitHdoH+h08eBCAjo7OIf/tfFVXV0+kY/iAv2cw8juanwDNLc0Fm6cdnT3naX1DPcNozfg74mubh2o/1TfUUxZpGZLfyramxkYA2trah2x/NTQ0AdDd1eX5m9Ha4br6eiKdAz8n02lrc3pjNzU1+dr+5PN7f20tw8qCGVqbb9cBr5agILahs7MTgAMHDlBb2zvvGhqaE153d3enTWeX+30HDx6ktjaxS5af7WtrawecY7B6407aOro4ZuKYPj83FKLn4mC0Wnntm7q6OrraU5zzblr27tvPxde+yyWfP5F//uAkz1Xb2zM7r6Oycf/2+nyunqt9pau9vefYzNVtGIj4/C4tLaWioiLlun6CoVR3gm6f63gty1r0km7jhkJtbS0TJkwY0t+sa3Z2aVlp2ZD/dr6qrKigcvzIAX/PYOT32D09swyNHjW6YPO0o7Mr9vchh1QwYcLoAX3HUO2nQw45hAmVmac1F4wd6xT8RgwfPmT762Cbc1spLS31/M1owStb52Q6I0aMAGDMmDG+tj/5/J4wYUJgwVCQ14G9dS385i9v86tvn+U7j86bOp3KcSO496p/j70XxDaUlzsBy7jx4z1/v6kjMaApSXGcRpUNc47nsWPH9VrPz/YNH+4U/seNG8uP7lgIwLM3nd/n54bCT+54nbGjyrn64jOz/t1e+6ayspJDxo7w/kBJCUQidJc6x9sz87dx3r+e5LlqubtPx44dm9Exlo37t9fnc/We3Ve6Rgx3r48Z7sd8kUl++7nKbwFio7CMMZOAdmB/mnVKgSNwWoESlrl/b/eVOvFUWuoUJrrVf0fySC4erjv2NnLe1Oksqt4TdFIGVTZ2/bL1ezOaHjgHs7ugbdrZwN3PLM/KuIzn3tjIpp0HeCW8LeH9LbsO8OjL1Sk+BXUH2+jOt35yg6ynm1zu9elauXE/7wzhuBs/h2a0smRPXQs/uOU1ujxaHGPd5LKZuCKkbnI9/ARDLwIhY0w0RL8UZwxQZ9w6C4BxxphPuK+nAKustTuAGcC5xpgjjTElgAGezkrqi1T0YlEIzz8RCdLqTU4T+txFaepndJpRe6CVq/78Jjc/vChr36ndml1X3/Umz87fyIGm9kH7jam3zeOh59d4FlCjcqaSzm8yhiq9KrlnbP32Bho8juee7n1DnaLCpN3oIxiy1u4FvgY8YoxZDZwFXGaMOcoYs8QYc5S1tgO4ALjRGLMSuARnUgSstcuBq4CXgTXASOCaQdiWohG9AKgCLjt+csfrPPby2qCT4VKmppPtcsuwYc4lsLMzdeFOOQJt7U73xPhnx7S0dSaMA0s2kLyq2d/EjPkb+v8FMiii+Z0ua7sDHtye9d8d6EVHg/1j0rVEpNo96XZbqta25tYOnpqzTq2UfdHuifH1nCFr7Wxgtsei0+LWCQOeHU+ttdNwp9pO8xvv8ZMWgVK1DGXVyo37WblxP1/89IlBJ0WGWLk7HqSjQKYBTjaYBbAv/uw5TjnhUG647GMJ72fjqnTVn99gT10Lnwody5gsPEekv5fKYrrEtnc4Ae/w8rKU2x09nNLtl2gBNF/K/tnM4kgkQkNjOxXjesbF5HI3ubzgsdv6yrN7nlnBywu3csykcZxx8hGDkiwpLMGMDJUBiY0ZUq2Hb9pT4sXPuVQIlQ6DtQ0rN+5Ps7T/v9nc6vTCzpkuVwFaum4v1/7lnUE/Dr989Sy+dNWshPeSy6F+Hmg6mDOUDYZUm7JjbyOtbZ0Z1Si8snArU655gfXb63svzI/dMbjSHMJd0SA6aT95BpHR1ra4Euxzb2xi225nZtYmd2yjV8t1R2cXO/c2+k9zgOoPtrG7trnvFWXAFAzlIT+1c5KviuOO+eI7W/r1Oa9DvmZ/U78LiqWxwl2/Pp7z8rU2OlqQDqLCZ/q83Oqe95u/vMM7K2u48vbX+dsLawbtdzo6u3tNj9177/c9eU93ikItOIHS0nV7h6SCYaCDwy+94RV+85d3Mro4LFu/D3Ammoilw/18aX6eijkpmrfx17e7nlrG9296rc/P/vHvizE3vJLZZDAB3SCmXPMC/3PdS4P+O3lSbzGoFAzlodgECmrvkCHwysKt/OXZlVn9zmyN0dq86wDfvv5lnn6tfwXYEs3MOGgGsktL0gSp67fVU3cw82dU+XXv9BWD9t0DsXpzLX9/KfVMbv3Z3/974yvcP7P3uZ2qcOSn8qDnXOr9JbPe2MTVd705qA8MjxaQs3FKR4Mbv7xamnvSoRJntq6yqfLW61lXyRa7M4emG+/o9/fyXYFuVr8oGMpj6iYnQ+GPf1/M06+tH/D3ZONoTa6h2+N2IVi+IbNCS5Sf8XeFcCMMYhPS7NE+PxvNl9b2Tua8uy0hf37wx7l8/w+vDTh9+cJvEbqrHw8f376nkSfn9D63Ux7zPs6XaDK8WkJ27nceyLt7fxP76nPkQcYe2+K1fV7vdXdHuP3xJWza2QBAWalTpOryCIZU+564D2e9uYnr71/Q92fSXS/6sU+jWVOWdIAu37Av5TEZdFfpTFqx+iNfexBkk4KhPBS9OCgWGjzb9xwcsmCzEArby9bv5d01u7P6nY3N7XzzNy+ybltdynUG+sytdC0QBSHL97jofno1vDXNOv52ptd6LW2d1B5ojeXLPc+s4OaHF/Uam1Tf2OYvwQMWYX9DjhTa+xAdZ5V2mvgMpRozlO7SGElT+o8WuqbNWs03f/PigPbtI7PXcN7U6f3+fDp+rwe1B1qZ/fYWrrnnbaCngB1/Perp0iXx/vzkMt7y0UIYnxcPPr+aZev3xl73Z5+muj797M43+O7vX/X+TD9+x8uClTWcN3U6B5szm/5+wRA+C6pYKRjKY0HXVuSTTPbVlpoD/O+Nr/LYK7ky3fbQau/oYsa8DQm1m3256s9vxgoE2bJi43721bfw6Eup86HUY2zJnrrmtIX1eLGxKelahgqhM0GWN+GWRxYP4NOpizBTb53HN341Oxbk7nJbEtrcmc76/Yv9LIkuXLWbi379IgtX9a8wUrO/ieotzrOs2jq60j6fx6+2ji6ee2NTymvagQwLWpnoGa+apmXIxzNgoteWuoP9D2offtG7y2Dsd30e816r+T1dkitjosFQV5dXy5DCIT+SWynij7XHXl7LVX9+s9dzhlIdj157PLqu1yeaWjs93s1eZdmTc9YBsLXmYEafy+RenAmVIXsoGMpH7vEbPZAfeG4Vf3psSXDpKTD7653xCKvSzpQ1WIK/OP39pWrumb4iqzXMWRO3ezo6u9ld6xSW44Ohn97xOrc8spiOzr4L0H4KdzmQJf2W7fJXRt/Xj/0WnQ0qWnCMjgEYVhrMrSo6K1j11tStk+l8+/qX+dFt8wH4r5/MzEqFwYOzVnPXU8t4e8XgjbuJSs7CWMtQmsJZdFmkO8KUa17gtTTXkZwtjPlMV1nSGKFocORVeM3k3Hl2/kbqDmQ+Lm7pur1cf/+CQd+vkUiEZ+auH/TuW85vpXsv8/Fh0XUz6fkR9HHa2ZWj50kBUTCUh6KnRfRcfuLVdf2enUt66+kKkrsXoJcXbOG8qdNpGITuQg2NTs3ym8t2Zv27s+nuZ5Zz55PLgMS8qs2gENEzZii7acs1QbRuDeQ3o935o4OcS8uCqVUvGcDx0e7RmrVk3d5e73V3R2KF5/gC2nlTp/OUx3iehibnnG9p867FTq5Zv+JP87M2KYSf/RE9F9s7u6k/2MZdTy6N+3ziutFrTbY8/dp6tu/JrNbdi9/Wouj+6EoKhuLzsaelzN8xvHNvI3c/s5zfPrAw9t1/emyJr+369b1v89byXb5aUgcSyCyq3sN9M1Zy9zPLM/qcn/Mo+bqR7j4caxnKIA3RrMkogMrg+wdDt8/xgLc/voQvXfXcIKemMCkYymNB11aksnFHAz/841znGQ15aDALyM2tHbS2J+6XA019BzSNze2xQboA0+dtBGB/g/+Cf2t7J8/O39hnjVh0+Tsp+im3dXSxdG3vQt1QWxpXsPTaJj/5F31ORfpuchIViQzRxC3RlqHOvluGps/bwNo+Wm76ey77ea5OKvZpfwXF2x5bzP/e8ArQ+zh86IXVvdaPBog1+72fP5JcmFy9ubbf04X3GjMU/Q0fU2v78at7B95SFk1LZ1c3f3l2JbUHnOup32A8fcuDv99uanECi1g3ufjCa4rvuvCnM/nDQ+/2ev/puU5eRSu6Nu9s4MV3tvD7B3uvm6yk1H90MJDKrmig39ic/ZahXvveT/5kcH5G86yxpZ3zpk7nudc39v2ZIRyg3d0d6VVG8PtQ8Nlvb4mNHYTcLSPmIgVDeSh6gPdj8qAhcd+MFazbVt/vriVB81NA7q8vXTWLi3/zYux1c2tH0vgL79rDK26fn/AMhWit3sgRZWl/r7m1I9Zd7G8vrOHuZ5Zz6Q2vpB143NesVH9+cilX2zdjXZqSZauw7FlISbGu11S2fvJvIDX/xWh3bTNfHIKax56WIefYLUvTMnTv9BVMvXVewnuvhrelHAydWTqc3129uTbjz26Mq7xI55WF22Jjo5K7V3lN/7vcne75kRer2eD1cM8Ux3J0Cu2XF2z1PZNbrwoRP2PskhYN9qnVn25PSd/g872+eU3o0vOcocRjuLW9i7mLe3chfOGtzYD/cSKRSIStNc5zjaK/0J9715665rST1STqX0ttf66zXtsSDXRjFZf9SMPeOucceO7NzX1/JoPvH6i/zlzJhT99LqFluSupm1xrW6ev4z1+1x1sbsc+tSyh+/hgbdeWXQc4b+r0Ph7KnVsUDOWh6AEedNS/ZdcBz+de+BlAm8sGu4B8MK42LVVXl2Tbdic+MTv6ueQbbLIvXTWLH/7RKShGay+jBa9kB5raE7rsJIv2YY8GQV7dLFZs2Mf5P57B6k29C4+Debwmzt6U/Edqfmq6gz7PBqI/U6b++r63mf325pTL29r9TWYwsOcMOemOBgOZXktueWQRWzIcpJwuHSs29OOmnmIHrI8LYOKft3Xnk0u9WziTXg+LCwwvv2Wu5/obttdz/8yVCcfuk3PW09jSwa2PLuaX97zlq7UoOQj088Dv7ljhv8+v923t1jpqUly3Yt3GU1y3Ojq7eGT2Gs9ui6nEb1+6wzh5P8SCIY8JFDI9Ff0GNK+Gt3HZ7+ewaM2eAd1zv3XtS7F7xWCL3ouiEgroKbY7/v1ohUB0n8Z/pK+u49HviXVt7GOfvbF0Z8JDdOcv2ZH+AwP00gJn8p/44zX++UnNrR1c+LPnPFuNk8XvswdnrWbmG5t47d3eAXi2u1EvdnuOvLk8t7vax1MwlMeCLqT95A7niejJ3eHyffYcrxnKsqGxpXfwUNrPEkN01hs/h8Bm90KeLj/qDrby1V88zyMvVveqhYr6+q9me87SFh8URWuSvcZGZEOqY37t1vr4lYDMake9Vk017fYlv30Z+/Qy39+dCzKZvWjhqt3c/vjSvlfsQ1+7/6Jfv5hykovoOdjuBkNBPVNtIAX6VCn+QVwA8+DzPQWa59/c7Ks1oKws/W07Eolwxe2v8+Sc9bH9F9XhFrAONLb3axyRn/GUsW3wqFSKtnpkauqt8/j29S97L4xEeGfFroR9Gf+7z72xiYdfrM7oWWmeW+fZUp34Zuw5Qx77J9NDKdV1ONnGHU4L5LY9B2lpc/I3W6fLkrV7eDW8tde+7e+tPbq/kitR//PKmXHrJIoea/G7tDWpQiZ+ivaa/U2xB6t6pTN6D4kGTX2VU26YtpAf/2l+7PX0uf3rcjoQ8RMoHGhyxtn5meAo/jyN/t0Zf3Dkbz1f1ikYymN+C3tdXd088eo6X4MqF66qiV1c+xLtx5qcimitT36GQv4exNkfX7l6Vq/3/BTyZr/de3KM2IxNGVzNkq/50QG5Xd2RWGH5reU703aTW7qu98NNL/ltTyHlGfdG0Z8HQKazdmtdwpgp77QlBmD+Bus6vM6lVMfvrn1NzHx9U8J7G3c0cN7U6ezY25jiUwFxN2L7nkZ21zbT1tHleR2oO9DK7x4M+26pTCfdfm/r6Er4jeiNPVnyEKH+nooDPYcHUqET6ccpkHw98Kos6WtmvUiE2A5L3v5ooSpdt8Nka7bU8uWrnnOf/9R3q3m6fZ5ciM2G7ghc+9cFzJjvPfYjerynuv95jxnq/abnsdqrZchNU3y33ehzhrLQMhSJRNi1z7uFrDZu/Gi27l0/t29xyyOLYy2YNfubeDzukRP9/Zn4bdtTlzT2LbmbZZpuz9FdmhwoR48zr/RFs+aPf18M9N27ovfn/W30ntpmfn7Xm549KPzkT/wanR5jhvxcm+IvJz2tlr2/K487P2SNgqE8FBsz5PMAfnnhNh54blVCl4xUfn3fO/zfza/5+t7YWM2kMynaErFjr/dFO9dFxwwNxQXi1/e+0+c6tz++JPZ3r+DJZxrbOrp6ffZ/b3yVR1+q5rZHF3P1XW/Gvm7TzgMe3+B4NbwtsRUG7xmhBlKTv2OvU3CPv9ZPvXVewpgpL/bpZQmDgqPHZUdnF/MWbx/UrnDR6YNfeGtzv59JM9ha2zv54k9n8uWregflD72whvlLdgz6dOoPzvKuvYfk8TGJN/r+jt8b6PM50pU3bnr4Xf767MqUy+MrKmYmDdIOr/Z+QHFyJYJXQc1Pa3J0IP3upEkWot+f3LqUPGA73o9vm09TaycLVtb4mlAieu73pDLzPDhv6nRueWSRz7VTdKvK+FfTf/jWRxf3ei/5uIy2DHmNYcy0y6pXy9Cr4W1c8tuXWb6hd6VUU1yhezBaUiORCN++/mWmzVrdr2m/nS9x/ovfF9+69qWEVZL3aSQS4fbHl/D3FM+VGqiSDEvBfu8VD7+4hiXr9mY8UYXXURL/fLKebqjOmtPnbeDOJ5Z6dg+MPw7KojMfeo7BEgVDecxv+SDaFSW5n+5AlfTRnez2x5cwf/GO2NOWp8/bEBvEm8ti3eRS7ODXl+7gmbn+u1yk43eQdVRymuJf1+xvSpmu//rJzFhf5HgPvbCGV8PbYq8jkYjvp2Onm8ku+Ube3NrheZx0dXXz0jtbEm4wl97wCv9z3Uu91u3Ltt2N/PaBhbFKguj/Dz2/ht8/9C7vrtnT+0NJ6ybw2UJYs78pVrh9Zu4Gfn3fO541eUErLyulO5KqltH5P35L99Q1x2rT+9dA0nu/JReiurojsfTEp6s+6WGc/Y1V44/t/khXa/zau9t5yqPrVd2BVvbUNiekedqsVQnr/Oretz0HqyefI14tOH216kQikdi4ru/+YU7CsmhwOCwpoEo+37xaWUpKSmKF2OQWxPjeBMl51dLWlbIF0MuStc556pV3Xl2NB1pp5fXx/n5lWdxzhto6ujjY3N7/MUNJgfHGnQ2xMVw79vRugY7vQTAYk//Ef2VXP3omxMvkehKJONv2qEdlbja2MtPW3/XbG/jZnW/0uV7PdOulXH7La7FeE+l+s7WtM3aMx+/vzi5nLG9re2fcMATn/3unr+D5tzaz3eOYeGt5z7PIopUoagXypmAoD8W69vis/Ym/QC9bv5cnX13n/b0ZniXJz1jw8ruHwvxuWhhwTtonPZ6bEaTLb3kt9vejbj/mnW43hOQbSrR25sZpYe6b4QxOfuGtzSxfv6/PZzZ4dXXzFmHH3kYONLVTd6C1Vx4/8mK1Z61jzf4mvn39y9w3YyUHm9upO9jKomqPwn8fOjq7fV8sf/vAQlZ41FA6WxH3dyTCl66axc0P967p/dFt87jtsSXc9VTvMTh9paOvW1j0eN7n9if3LEi5KV2/rZ7Xl2Y2MDaa55f9fk6vmfW8ZgELQnwFSLrzNHou3/lEz1ihb137Etf+xWm5TJcX1iPvUn0m+a0f3DKXL1zxLOB0K4lKDsij52Kjz0A9W+ILLT++bR5f/cXzfX7m67+azbeSgguvWv6DTb2Px+SuXGWlJb0H6ScVpC65/mXfs8NFA86dSV2t4lt312+v9wyYS0uInXRX3v56wrL43gRex1n8dbYvv7kvdWu5V0tcJnetSCTCoy/13UMi1b0weRKH5NXi77U/uX0+//3z52OtOJlWKHjtx+h1pSw+mPX43oG0DKWaqCK+8qu/3Wl37Wvqu5yRtDjddSsbU173Z1ygV8tcsugkGqWlJWzY3sB9M/oeo1d70LurY1dXN7c9upgLf/pcLG/rG9vStuiCM314VNrK635ESLtrm7PSrTpXKBjKR+5xm3xR2VLj3b0p9lTsrm6u+vOb3P/cKl57d1vsGQ9L1u5hw/b6XjfirjQzi0HPRSThAXMe6++tb+6Z/WWAWts7M5oVKCrVub5he0+N5kMvrAHgpr85z3OIdDv7dMfeRhasquGCK55l2Yae2ZU27GjgjieW8rM/v8F1f12Q9vfj+1n35dIbXuGrv3ier/9qNrf8PTGAeOzltb325c59jQl9pktKSvj6NbP55d1v+f7NqPaO7oTjKt0U3ABzPGamgcRjM/qn13OL1rv7P1W3oXT6unxHfzfWx96zD37P379/MJywrGdclreXPWb9iUp3jP7gj3M9H6Y5GP702JLY32kfXpji/SU+nic1841NCa8z6Y4YH/S8uyb1MbDO7ZqZXDuczXF9s9/ewt0zErvixA/PWbOlzrOFY8673q1PXoOXUy2PSu4KWlJS0utYSt7mXfubeCVuYpN0u6TTR5D+A48Z6qJpiX6+pa2T86ZO9wyavPJkb11LyvtTsvhJHyKRCOu31cdeh1fXMOfdbfzCvhl7b2eqcXoe+2FrzUHP6az9+vb1LyfcE1PNJtfV1R27tkXtqe0JWP08p83rXhp7CHEfJfhMT4v430o1UcVP7uiZRGCa29013e94FdSvtm/y7Osb07bGJLc2/eYvqYPjbJz9yd2+/YqvgIieox2dXVx91xts2F4fO07KUmxrU0tHr0qzVOdeR1d3rKU0et1obu30fE5Vgrgd5PVA4IHMIvc/173Ez+58ve8V84SCoTwWiUQSbjzf/f0cHnphda+CZXxtVdRNDy+Krfdz+xaX3zK3V5Rvfvsy//WTmaRS4tGdLFXwFD/F4qw3N/X76dcX/vQ5Lr3xlV7vH2hqj31nV3eEt5bv7FdBaXFca8rGnQ189/dzuPSGV2LTUd70956ayfhL3DI3QFm5cT9/edZpNbpvxgrOmzqd7/zuFXbXJvbdf/LVdbHCdLzlSVP4ek2D2ZVUyDK/TdofAyggtnd0ZXR5fPEd7xavSMQZU3HfjBW+umx4taR45V8mmxb9/Dq3MBV/bN7zzHLOmzqdh2evib3XHfEOWhesrInVlsZPkJCuUrK9I3Whc/22ev7aR3fRffUtKZ/j1F/xN8HkmvrBmPgxgtN9Kr5rXKpdtnLj/oQZk5JF91fycbLMY0KP/rr98SW8sTyxNdVPF5poi2dXUmAQv7+9rotex3fytOVeZV6v467E5widgXTfLC2l1+x0XsFhqvM9+Rrox4z5G/nBH3sKiLUH2rj54UWxqXuhdwCZlld29lFRvqFXUNOzHcmFyZ7nDPX+zvgxR1fHBXOpeO3HaKE7PhjyGovk55obv4qfvNlT56/1MSpVwb56c13aVv2f28RKvD1p0uZVCXnro0tifw/mhLbfjHteYLSl6Nf3vcPSdfu444mlsTx4aUHPPXJV3CMnvnz1LH5591t0dHZz3tTpXPuXdxIemBqfh/Hnbfw1MNWD0aPij4LoIeN5LUr7LaklB/xrt9b1u2wXNAVDeSjWTS5CrwLEoy+t7fVU79LooM4+LpAtcSfi8vX72F3bTGdXNxu211N/sK1X83m0u0Z8F5BUs4jFr/PnJ5fxpatmJVxMou54YmlCf9zHX1nLqk2JAUL0YWl3PbUs1kry1V88j3Gf4j7z9Y1cf//ChMHgTa0dCc8K2LmvkUfiCsJRv0jRmuL1bIHkh8q+vnQH985YwdOvref2x5fG+ggnPyMI4P7nVnkOyPXTQpJQ0+SRpQPpOdDY0pGVPsUrNu7jtXe388zcDb6CUq9g6LcPLEz7mb7uc8nnRvRG09reGRsTsSrpeUjTZvV+dsO0Wav5njv2YlHcuKPu7gg3P+xdM5dqymivrnpevvmbF/nO7/w/NLSxub3PrnnxhcYN2xvo7o4wf8kOmls7BmUa/KaWDv7v5tf4+q9ms3NfY+w5Vl5+csfrvNHHQOOdexsTtvG8qdN9FSoHwmv66VWb9iccB+BcTy644tmEp9l3JLRw9P7uX6fpDhbl1QLQ1/mUbvnAum+W0Jl0XHsFV9GKgORDKl1r6Rd/9pzneNJUM8RlIlrpNH3uBsKrel9fvWrHF6a5Diecl6m6yWVhzKBXoTU681pXV4Sv/uJ5vn2999hKXw/kjPvbq5uln3vRgaa2lLN8bt/TSCQS6VXJWlpWMqhBSn8qkZLPiyv+NJ+HZ6/xfb2OzvAYbUlvaGqPlXkWe7QCHmhyxkQu37CP3bVOuSo5sIk/jeNnYexIU9GWLP761TNmKHXLZirrt9XHykDh1bs9A9SOzi6m3jqvz14yuWpY0AmQzCX3Je1r3ejFqNuj5jU6vTKQMMAvvjZj3bb62MP9Zvzh89QfbOPrv5odW97ttlDtrm1m/JjhnunwurAnX4B37G3s9RyKaOH02ZvO7/X5597YxHNvbOIHX/lHoGfQdfR7b4obo3L5zXPp7OqOfc8197ydcopSv/78ZOJYiSVr98a6dKRqMcmG6fN78ukJj/FfA51JKBszEcXXpvqZ0avDZ+Hhy3HTk/f1rfsPtLB4bU+h9e5nlnPex0/ggZmr0nzK/e6ku0T0ZhR/vnRHIim7CR5sbmfBqhqmPbeKa759FodVjAISp1f/9X1vs3FHA/f/4jN9psfL2q11TL11Hr/9zj/z0zvf4MNVh/PL//koP7dvsmz9Pn7//Y+n/fzGHQ387sEwZ55yBBMrR6Vcb8P2ekaPLO9XGqN6tV6mSE86P/zj3Nh+TOWJV9fxwHO983dvfQtvLtvJP33oqD7T0Zfk8TLQM+X8XU8vj73Xn5aQZF4zNXoVYOILl8+keQ7KgFqGSnpXtHg9gPeeZ5b3eg/g9SWpg92Wtk6enLOei849JeH9dK0CfVm4qoaTT5hAjTujXntnN/d7HBteol2lvcTvw95ZkX7ynUx4fUV0ps9oRVqqiSky/fnkgDASifSqVPWydms937/pNe684t+YPGlcr+XRgf/xSktKslr5km5iqPi62Y7Ortjz+ZKtTarYXL25ltWba31PwJI8qcme2maO9dgfUQ8811PpNn+x91jV+HvQG0t7zp34cUDxfnKHd5e11rZOvnz1rFg+eN3fb354ETc/vIi/X3sOY0b1vtZHW2cPrxyV8riIVj6u3VrH6ScfkfK3cpWCoTznOdA1rjbx7y+tjXUF8iqUxtccPB8XiGzZ1VPoq43r5vL5H83g8/9yQsJ3XH7LXL7871VpBwj6uQlfekPfBaao+ItXfECQamBj9PcjkQhPv7ZhwIGQF/+TJAzMwrjazdc8pkIe6DN+sj0TWqpBlvPi+u73q8a6j+vsj2+b3+u9ru5IwiBVL/sbWhg3undQ/+z8jcx6c3PPz6cpcfwo7rev++s7fPfC03jvMRUJ6yz0qKVOFl69mw8cV8lYNz11B1sZO6qc8mFlsVrI6Cx5i6r3cOuji2NdNr22P169OxVr9ZY6Dp8wOuV6l98yl3857eg+0xo1WLMVNbV20pTm4bHpxrdFHysw4w+fTyiIPf7KWqbNWs30339+QGkrz+C5PQM1akRZvz97R9wEGZnyKsB6PbsneXKGqFQtf/GPfKjt75TNHma+sanXeDYvDY3t/PyuN/npRaczcvgw/tvHJBlRvQt7zutXFg5sFsNMeLVsDTQYy7QQu2t/k2cw9NeZKzn6sDEJ75WVZrdl6Bu/np1yWbSS7b9//nzaWVJTBRJ+KzQikd7Xn3QV1fFpSfX8q+ReC1F+WpTjXfiz5xLT5R4b7R6P2/jy1bN48oZzGV7ec42J346Dzb0Dzz11zRxeObpnSv2SnvFiM1/fhPnChzJKb1AUDOU5r6ldu93pausPtvH8mz03g93JDzcD7+mGSZzy+ZGk+f1XbUzsttbU0pH22SoHmjrSPPAuQklJSa/l67bVccjYEbHXv31gAePH9Lyeeuu82N/x3dB+ducblA9L3fvz3TV7+hyvke/mpahpCsrXr/G+Wf0+bvBnuptvqvv6rhSzHqXzwHOreHPZrrTrXPTrF/mH9x/W6/27k2q8vbrUeVm/vYHLb5nLtz5/qv+Eun5179uccsKh/OTrp7N5VwM/t28xeuQwbr78X2PrxFcGZDKVdLSGr76xjXdWpN8n8zy6icZrbu2gtKSk140313R2RVi4ahfb9hzkS5+uiuXh+T+eMaDvjR+nMNjOPvM41m9PbJX2W3it2d//lhavAqxXy1CU3/L4g8/3nEff+FXqgu1gWrJuL/OX7OD2xzMLFuMnCejujgx8mu9+fEFrW+888NVNLm6V5AcEZxpM/ea+d3jgl59hwviRCe8/69HNcc2WWj5cNSmj708n3THY1dVNS1un78dFAL5axJJ5VealC+zjZ8VMVVnod4bITD360lq+9tmT+H8pxoP/5dmVXHLBB3lt0XbOOOUIOuLKZs++3js/v3XtS1z59RDHH3UI4Eyl35qHs8z5CoaMMecANwAjgJXAxdba+qR1zgDuAMYCNcAUa+12d9lFwBVAOTAH+J61ts0YUwb8Aficm5ZbrbV/GvhmFbb469Tjr3hPkx2drjZe/Kw8A5E8aA56JhDwcrC5PaGZN968xTv4g0eXhB/+cR6V43qCn74KsPHStTL050KXb/6S5kGQ+Si+a9pAPe1ReeBlaRYH5kelajnt7o5w74wVDB9WyphR5YROSiworNy4nynXvBB73dzayaU3vMK5Hzs+a2nLdHB0si95PMh1IE48tqLfszyl859X9lwXH3q+95jBfHDnk72nMo/OhDmYvFqh+5raN59kGghB4jiP6DOABiI5hpkxbwMfeM+EfnyPn2AoboB+Um+C/7wy9cRJqdQeaO0VDHnZtrsxo+dODcTw8jIaPVoz0unPzKa/vKf3WOMtaVqx4/M5vrdBvMG8j8+Yn7orbXT4QdTXzzkp9nfyWMmoG6eFPd/PJ31OoGCMmQg8AFxora0CVgA3J60zHHgS+JG19iTgQWCau+xU4Drgk8CJwHDgyuhHgZOBU4GPAJcYY/5l4Jsl+cIrEIqqS3rwohQ+r66cqbrdFIrzfzyDZ+dv5Mk565k2a7Xv2bFmvt53F6B8VTmu70KVDC2vbp1pa+XzaLxAf/0tLgjt6MxsJk5PSUHMPdNX8MrC3rOOxivznGSj759qj5sM45p7Bl5JmElrgNdYuMFQOW4Ez70x8Ek4Cs09z/T9zKMovz0g4sU/TzLVc+hyjZ+WobOBRdbaaF+pO4FNxphLrLXRo/90oNlaG51L8QHgNmPM0cD5wExr7W4AY8xdOMHSr4EvAH9xv6fBGPM3YArQ0wcqT9z88LtszfJUuKmkuwGJ5KvLb3mtV3cN8B64LYWtPw8MlqF337MreSyDZ6gVslseWRSbuTUT8dPc1x3oXQGYquUgymss1o3TFjJ8WBkRErvuRSLOCKNIpH+zrqVz22NLGD0yt0Ze/OmxJQVfmZbrSodwPOVA+DlyJwOxjujW2hpjTDkwEdiVYp0uY0wNcGzyMmC7+36vz7nLPpnJBtTX19M9wAHjA9HS0kJtbS2jymHcyP4PbM3EuJFllJWOZUuNM1bmmMNH86ETJrC7roWzTj2cZetrmbc0sRbv1BMqOPX4Sl4O76Ry3Agu+tz7mPnWNpasq2VEeRkf+9AkWto6nRmyFvU0/R9eOZIjDx3NmFHDOLxiJOHqfRx2yEjed/R41u84QGtbF2u2NlAxdjilpSXUHmjjsENGcOyksSxamzi26LT3T2DJutRdCUpK4OMfmpSQ9pHDy2ht72LShFGcdcpE5izaRUNTB+XDStN2hxs1oowWty/1e44Yy+aaRs4+4yheWriTSATOOOkwFqzexyWfP5Gl6+sYVlbC5ppG3nvUOBpbOvn8xyazr6GNtvYu5i/bzUdPnsjuuhbmLq6hua2LEyeP57BDRhJes48xo4bxsQ9O4tk3t/FPHzycM086jLqD7Tz88ka+c8EHKC0tYevuRp5/ewef++gxLF67nw07DzJ8WCntnd38/jsh3lm1j7lLajj1+ApeX7abjq4Ip71vAkvW1/LBEyr5dOhITjqugp37munsjrBjbzM1tc08/7YzluOb57yP0z9wGC+Fd/L0vK1c9Ln3sXNfMzv2NbNjbzNnn3EUm3Y1ctr7JnDPs2u54r9P5X3HjOeV8C5217VwwcePZevuJm5+tKdp/pTjK2hu7eTj/zCJaS84zeqhDxxKS1sXKzfVc85Hj2HW24ldZ846dSINjR18+VPH84v7FjOpciT//KFJlA8rZc6iXeypa+Xz/zyZZ9/cRiQCRx46il37Wzjl+ArKy0oT8gvgG599H8s31tHZ1c2yDXUJxwQ4n+/ujtAdgaMnjmbsqGF85oyj+e2Dy2hu6+K4I8Zy8nsO4bgjxtLQ2BHrDtbQ1E54TeLxGd3mQ8ePYP2OA5z2/kP54HvGsnl3G9VbG9jb0Mru2hYu/OR72Lq7qdczaU6cPJ5xo8tZu62Bg81OPVH8cTqsrIQTJx/CP75/ArMX7GBfQ/qWz4kVI9lbn9jvfHh5adpnGIETPP7XJ97DY3M2A/AP75vAjr1NlJWVMvnw0exvaGNEeRlrtvZ0d/3MGUezfscBNuw4yDGHj2b7nma+8dn3sWR9LUvX1/LRUyYybnQ55WWlsTz/5jnvo72jm7+91HfN6+iRw2JTm584eTxrtx3gfceMp6Ojiy27eworI4eXccrxFXR1RViy3rlWXPafH+D1pbtZ6ub/d77wAQ4dP4LlG+t4Zv5WvvLp41mxsZ7m1k7qDrZROW4End0Rtu9pirVOfOojRzKsrJTdtS2s2lzPqSdUsmjtfk7/wGHs2NfMzn09Y2nOPPkwLvzk8azfcYCPnjyRjTsbqaltZsWmenbubY4dm5XjhlN30KnhPm7SGCIR+McTD+XIQ0dx13Sn7nDy4WNoaGrnQJPTVWfUiDJGjRhGbVKh91MfOZJX3nVup7/7ToiZb2xj9MhhrNnSwMnHVzD58DG8uGAHm3Y5v33WqRP55jnvB+CuZ6ppbe/kgo8fx469zTz04obYdh8yppx/P/0oPlJ1GD+1Pa3w//C+CWzceYCLzzmR259azQlHjSP0gcMYN7qcu2dUc+Lk8Xzyw0dyxATn/Dzz5MP4+8ub2LK7kS996nh27Wvhube2ManSacF771Hj2FPfSiQSobGlM/YbS9f3vt6fOHk8o0cMo7S0hEVr9zN8WCkfrjqU4yaNZfG6/WzaeZBTjq+kctxw3li+h/bObv7jn47hw+8/lBlvbOOsUyfy3qPG8cbyPazYVM/67c4Max/70OGMKC+L7cdk0fPpe//vJA40dfDYnE20tHVx6PgRtHd2xc5ZcM7VIyaMIgLs2NvMJZ+v4rT3T+C5t7ZxsKmDfzntCJ58bTOrt/ScQ8ce7kwUsK++JXYOAZz3T5Opb2yn9mAbkUiEVZsbOO4I5/5dMXZ4Qrlh3MjRsbEmpxxfwcpN9bH9OKlyJLvrEq8H40aXc8KRY2PnStRhhwynhMRJL0pK3Lnu3LeOqDyMpetrOWLCKHbsa6arO8K40cP4p1MnMXuBc1+56buns3jtfppaO1mxsZ512w/w/f86iTeW72HMyGEcVjGSZe5vj3VnIYvet7z2/SFjymlwz4UPvbcydk3/0qeOZ9vuJk45voJ7n11LhMRrXfTz3/js+2hoaueZ+T2tZZMPH8O2PU189ewT+NRHjuLHdyxk/4G22HE2fvSw2LXuhKPGMH70COoOtrFldxOfPfNoJlaM5Km5W2IzzY0cXsbI4WVM+cx7+cusdZx8XAUL1yR2my4rLaGrO8I/nXo4kyeNYfueJg4ZO5yWtk4qxzrXpnXucXnM4aMpoYT3HzOeYWUlLF5X2+u6XlICX/j4cYweOYx5S2r47EeP4e4Z1Rx2yAg+c+bR7NzbzJL1tRwzcQzLNzr7rGLscEaUl7K7rjV2HwU4ZuJoJk0YxaGHjGDFxjo6uyKcftJhTBg3gn98/wTueGoNG3YmBsKHHTKCz555DA+96NznJ00YxaHjR7Bqcz3J4vMwmjeV44azdlviQ5VHjyjjUx85ii/881HU1g68C2l/RMvn4DxipqKiIuW6JX0N2DPG/Aw4wVr7P3HvdQJHx7X2/DfOOKJPx62zHvgq8C1gq7X2Wvf9Y4B11tpRxpi17uded5d9DfiqtfZzPrbzPUDg/URqa2uZMCHzPr2Sn5TfxUX5XVyU38VF+V1clN/FJUV+Hw9sTn7TT5vuFiA2r6oxZhLQDuxPs04pcAROS0/CMvfv7V6fS1omIiIiIiIyaPwEQy8CIWNMdEqJS3HGAMWPllsAjDPGfMJ9PQVYZa3dAcwAzjXGHGmMKcGZNOFpd71ngIuNMeXGmPHAf8ctExERERERGTR9BkPW2r3A14BHjDGrgbOAy4wxRxljlhhjjrLWdgAXADcaY1YCl+B0kcNauxy4CngZWAOMBK5xv/4unNnplgLvAo9Za7M7R6uIiIiIiIiHPscM5bD3oDFDMsSU38VF+V1clN/FRfldXJTfxSXbY4ZEREREREQKjoIhEREREREpSgqGRERERESkKCkYEhERERGRopTPwVBZ36sMvtLSfN6Fkinld3FRfhcX5XdxUX4XF+V3cUmR356xQz7PJvcxYH7QiRARERERkZz3ceD15DfzORgaAZwO7AK6Ak6LiIiIiIjknjLgSGAh0Ja8MJ+DIRERERERkX5TB0oRERERESlKCoZERERERKQoKRgSEREREZGipGBIRERERESKkoIhEREREREpSgqGRERERESkKCkYEhERERGRoqRgSEREREREipKCoQwYY0qCToOIDA6d3yIihUHXc8nEsKATkMuMMf8NjAaWWWsXWGsjQadJBo8x5uPAfwE/s9Y2BZ0eGVzGmK8BJwArrLVPBZ0eGVzGmCnAx4HlwOPW2pqAkySDyBhzEfBJYANwn7V2R7ApksGk8lpxyXZ5TcGQB2NMBfAAcAjwAjDDGPND4ClrbWuQaZNB9RHgMuBZ4OWA0yKDxBgzAfgrzo3zUeAJY8znrLWzjTEluokWFmPMeOBeYDxwF3AVcIwx5gZrbV2giZOsclsDhgG/BkI4+f01YBKwQ+d34VF5rWhltbymbnLejgQOWms/Ya29AfgRcAlOraIUrqOBjcD3jDFHBJ0YGTTHAPXAZ6219+IERpUAKigVpMlAJ3CBtfYZ4Drgc0BDkImS7HPP33Lgg8B3rLVPAgbYE7dcCsuRQKPKa0Unq+U1BUMuY8x7jTFj3JcfAU5z3y+11j4ErAXOMcZMDCiJkkVufo92/y4zxowExuI0u74Xp3sFxpixwaVSsiXp/D4J+Cjw/4wx1wDfBC4wxvzMGDMpqDRK9hhjjox7eRpOMNTmvt6KEwyPGNpUyWBJyu9TgInAHmPM/wGvAH8xxtxpjDnTXV/jSfKYMebTxphj3Jcno/JaQYvmtzGmzH09miyX14o+GDLGfMYYUw3cBsw2xnwQmAGMMcaca63tdlf9M/AJ3BpkXUzzk0d+/yNQ4janH2OtXQZcC1xvjJkDfDjA5MoAeZ3f1tpHgZuBbwH/DrwPuB/4V+A/gkqrZIfbReaZ6Gtr7d+AW4Ay961vAZsAdaEpAB75vRCn9ffnOF0jPw78ECgBvmiMGa4WovxkjPmsMeZd4MfA34wx38fpIjXGGPMfKq8VlqT8fgj4P2NMubW2GTg6m+W1og6GjDGVODv5cmvtfwAL3NdnA78HfhJd11q7GGjGKTypuT0PeeT3QuAHODVIlUCrMWYy8HlgHLDbWjsvsATLgKQ4v39ijLnAWmuBg8D/WGs3WmtfALYDpwaXYhkot8bwM8Dp7oQJgHP9ttZ2GmMOBz4F3GytjRhj3mOMOTmo9MrApMpv4BqcAKjZWltvrV0BbAYqrbXtKhznH7fV/ic4A+Y/AzwOnIUz9vMe4Mrouiqv5b8U+R0CxhtjTgCas1leK7pgyBgTv82TgRZghfv6emAL8FmcgnLEGHO9+7kRQA0wd+hSKwPlM78vAE7E6Wf+AvAicC7wOWNMaMgSKwPmI783Ap93u8wdBpwft34ZMH8o0inZkZTf4JzD64FvA7caY0YlLQ8Bi621S40xtwBP4NYeS+7zkd+j3ffvBcLAacaYo933TnbXVeE4TyTl91nAbuAd9/XrwL/htPDej9M6dK37OZXX8pCP/P60+3cH8E/ALLJUXiuqYMgY8yNgmjHmMjei3I9TCB4JYK3dh3PylOLMPvNd4HxjzEM4tco1wJog0i6Z85nfrwHtOH1ObwROt9beb619G/g/nGl4JQ9kkN+lOAPobwJ+boy5yxizDKcm8bkg0i6Zi8vv7xhjPuC+3QastNbeB+wCfuOuG+0i92ngXGNM2H39CWvtG0OZbumfTPLbDXamAIcDdxpjFuEUoG4Z+pRLf8Tl93fdMWFv4lyfo9Mon4kT8B5wp03/X5yxnyqv5SEf+f1RYKG1dj/OeM/rgDOzVV4riUQKu4LEbQ4fjrPjTsEZOzAFpy/xt3BqiydYa7/grj8CeAR43lp7j9tUVwXssdbqxMpx/cjvkTj5/Yy19gH3veHW2vYAki8ZGsD5/Zy19j53jOB7gXXW2pUBbIJkIE1+jwV+Ya1dErfumcAbwInW2o3ue9OA9wNft9auG9rUS6aykN8jgeOAdmvtpqFNvWQqTX6PA34Sf412g5651tp74t4bi9P6W6PyWu4baH6774/MxhTqBd0yZIw51K0hKsWZIe5ya+3zOFMvrgVuBb4PnG2M+Xd3JpI2nBqmUQDW2t3W2nk6sXJfP/O7FdiJ84wCjPMcCgVCeWCA5/dYAGvtcmvtMwqEcl8f+b0G+G3cusOtte8ATwN3x33NZdbasxQI5b4B5Ld13yux1rZaa6sVCOW+PvJ7NU5LfnTd03CCnoeNMScYY+42xnzDWttorX1N5bXcN8D8tsaYbwBk61lSBdky5HaJuAZnYNUqnIHR3cC71trH3HU+APwd5xkEJ+FMrzsfiABfAi601i4d8sRLxpTfxUX5XVwyyO8HgRuttU+4Mw51GOcBu9uBU1Qgzg9Zyu+TrbWbg0i/ZCbD/P6DtfZRY8xFOOPEpgNfBv5urf3d0KdeMpWr+V1wLUPGmOE4M4scirOz7wem4gyenGx65p3fCjwGfMlaez/wC6ALpy/iP6uglB+U38VF+V1cMszvJ3GmR8ctGA+z1tYChyoQyg9ZzO/NQ5x06Yd+5Pc/u68/izPAfhJwtgKh/JDL+T0s21+YA47Eea7Aye4Fcg8wG2fnng2sBF6w1ja7GdMJYK2di2YeyUfK7+Ki/C4umeT3SNzBtm6XyGjetwSTdOkH5XdxyTS/ow9OngbcZq19M4hES7/lbH4XXMsQzgwi03AeugZwAnAszvNkVgJfNsZ82V32jzhNdJK/lN/FRfldXDLN750Atufhi5JflN/FpV/Xc2vtLAVCeSln87vggiF3gPRtcd0izgGq3UHxV+HMNnORO9XmWmvtbQElVbJA+V1clN/FRfldXJTfxaUf+X1rQEmVLMjl/C7EbnJYaxvcKfvGAF8Hfu4u+k+c5rgvAaXW2rqAkihZpPwuLsrv4qL8Li7K7+Ki/C4uuZrfBTmbXJQx5hSc+ctvAS7FbY6z1i4INGEyKJTfxUX5XVyU38VF+V1clN/FJdfyuyBbhuJ8FGfGisOA+6219wacHhlcyu/iovwuLsrv4qL8Li7K7+KSU/ld6MFQHfAb4DqrB2kWA+V3cVF+Fxfld3FRfhcX5Xdxyan8LvRg6Glr7VNBJ0KGjPK7uCi/i4vyu7gov4uL8ru45FR+F/SYIRERERERkVQKbmptERERERERPxQMiYiIiIhIUVIwJCIiIiIiRUnBkIiIFLSqqqpRVVVVRwSdDhERyT2FPpuciIjksaqqqgjQAnQDJe7f84Arq6ur1/n8mvnADcATg5JIERHJW2oZEhGRXPcv1dXVY6urq8cAJwKbgNczaO05bPCSJiIi+UwtQyIikjeqq6trgalVVVWnAz8ArqyqqhoJ/B74LHAUsAe4urq6+m9VVVXPAscCD1ZVVZ1YXV19fVVV1edxHvh3HLAK+H51dXU4iO0REZFgqWVIRETy0SzgE+7fU4EPA2cA44BbgDurqqrKq6urzwO2AlPcQCgEPIwTSB0G3Am8UFVVVTnE6RcRkRygYEhERPLRfmCC+/efgQuABmAy0AyMxwmMkn0LeLi6uvrV6urqzurq6oeAdcB/DXqKRUQk56ibnIiI5KPDgX3u3+OBO4CzcMYTrXHf96rwOw74ZFVV1Rfj3ivH6UonIiJFRi1DIiKSj/4DmOP+fTdOV7hJ1dXVHwFuSvO5ncDt1dXVFdF/wAdxxhyJiEiRUcuQiIjkjaqqqsOAq3Facv7ovj0eZ8rtrqqqqiOB6933y93/29x1AB4Anq6qqnoSeAf4JDCTxOBKRESKhIIhERHJdfOqqqq6gQjOuKBXgY9VV1fvcZf/H3CPu2wfcC/OhAonAbuA+4E/VVVVvb+6uvqnVVVV/4vTmvQeoAa4rLq6WoGQiEgRKolEIkGnQUREREREZMhpzJCIiIiIiBQlBUMiIiIiIlKUFAyJiIiIiEhRUjAkIiIiIiJFScGQiIiIiIgUJQVDIiIiIiJSlBQMiYiIiIhIUVIwJCIiIiIiRen/A8XCcFlhEpWXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute brokerage fees\n",
    "brokerage_fees = 0.0020  # 20 basis points\n",
    "brokerage = turnover * brokerage_fees\n",
    "\n",
    "# Plot Brokerage\n",
    "brokerage.plot(title='Brokerage', figsize=(14, 5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "fa3e5b03-dfea-41da-94d7-c2424618829e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot Cum Brokerage\n",
    "(brokerage.cumsum()*100).plot(title='Brokerage', figsize=(14, 5))\n",
    "plt.ylabel('Brokerage Fees in %')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62f55287-1699-4533-b6e5-6ec384a1c101",
   "metadata": {},
   "source": [
    "#### Impact!\n",
    "Wow! We pay almost 50% away to brokerage fees with only 20 basis points.\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "09feab39-1668-4d4f-af37-b5669c5dfa03",
   "metadata": {},
   "source": [
    "## Accounting for Bid-Ask Spread\n",
    "\n",
    "Incorporating the bid-ask spread in backtesting is a nuanced decision, often contingent on the nature of the trading strategy. For vectorized backtesting, I usually ommit the bid-ask spread due to its relatively minor impact in this context. However, this element becomes significantly more relevant for intraday trading strategies, where even small fluctuations like bid-ask spreads can materially impact performance.\n",
    "\n",
    "To effectively account for the bid-ask spread in such strategies, you need access to detailed market data, specifically the best bid and the best ask prices at the time of each transaction. This granularity allows for a more precise simulation of the costs you would encounter in actual trading scenarios.\n",
    "\n",
    "In our context, we will use the average spread. Referring to a reliable online source such as ETF.com - reveals that the average bid-ask spread for an ETF like SPY (a popular S&P 500 ETF) is approximately 0.000032, which translates to 0.32 basis points. This figure, while seemingly small, can accumulate over numerous transactions, especially in high-frequency trading environments."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "267f117e-d4fe-46da-8922-5e281a200dcb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute Spread fee\n",
    "bid_ask_fee =0.000032  # 0.32 basis points\n",
    "spread = turnover * bid_ask_fee\n",
    "\n",
    "# Plot Brokerage\n",
    "spread.plot(title='Spread', figsize=(14, 5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "020b3167-c756-4c81-964d-dcb854950d82",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot Cum Spread\n",
    "(spread.cumsum()*100).plot(title='Spread', figsize=(14, 5))\n",
    "plt.ylabel('Fees in %')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f363bac0-d4c1-4ab4-ab64-1fa2b85fbe0d",
   "metadata": {},
   "source": [
    "#### Impact ~\n",
    "We pay about 0.8% fees over an almost 30 year period."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b3b0f66-8830-4913-a0e6-297cf0ca20eb",
   "metadata": {
    "tags": []
   },
   "source": [
    "---\n",
    "## Integrating Slippage (Market Impact)\n",
    "\n",
    "Incorporating slippage, or market impact, in a vectorized backtest is a nuanced process. For simplicity and practicality, I typically use a fixed slippage value per trade. It's important to note, however, that in more sophisticated backtesting frameworks, such as event-driven systems or those using iterative loops, a dynamic approach to slippage is often more accurate. In these cases, the Linear Model is a common choice for estimating slippage.\n",
    "\n",
    "### Understanding Slippage\n",
    "Slippage represents the discrepancy between the expected price at which a trade is intended to be executed and the actual price at which it is executed. This difference can be significant, especially in fast-moving markets or when dealing with large orders.\n",
    "\n",
    "### Key Points:\n",
    "- **Simplified Approach:** In vectorized backtesting, due to its aggregate and simplified nature, using a fixed slippage value per trade can be a practical way to approximate market impact without overly complicating the model.\n",
    "- **Event-Driven and Iterative Models:** These more detailed backtesting models allow for a more nuanced approach to slippage, accommodating varying market conditions and order sizes.\n",
    "\n",
    "### Advanced Techniques:\n",
    "- **Beyond the Scope:** While institutional-grade estimation techniques for slippage are available, they often involve complex mathematics and are beyond the scope of this course. However, we remain open to including such advanced content if there's enough student interest.\n",
    "- **A Practical Guideline:** An accessible rule of thumb, as highlighted in the AI in Trading course from Udacity, suggests that \"when a trade constitutes 1% of the Average Daily Volume, the price tends to shift by about 10 basis points.\" The transaction cost can then be estimated as the percent change in price multiplied by the amount traded.\n",
    "\n",
    "This approach to integrating slippage in vectorized backtesting strikes a balance between realism and computational simplicity. It's important for students to understand the limitations of this method and recognize the potential for more complex, dynamic models in advanced trading scenarios. By incorporating even a simplified version of slippage, traders can achieve a more realistic assessment of their strategy's performance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "7d301f52-b2fd-455c-af39-239247c1201c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Volume on SPY is massive, we are probably never going to be 1% of ADV\n",
    "daily_value = volume * close_prices\n",
    "daily_value.plot(title='Value Traded', figsize=(14, 5))\n",
    "plt.ylabel('USD Traded')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b49f46e7-4e75-4948-aab7-87dbcd6405e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Lets assume we are going to have a maximum of 1'000'000 USD traded on any day\n",
    "# Therefor\n",
    "adv = 1000000 / daily_value\n",
    "adv.plot(title='Average Daily Value', figsize=(14, 5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5cc30f5f-2b7e-4a45-bb57-e08eba3f97dd",
   "metadata": {},
   "source": [
    "Here you can see, we never reach that value. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "8eabfa06-d6ba-484a-8ddc-e81055526231",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Lets use this to compute slippage costs, linearly (This is not the Linear Model)\n",
    "# If 1% = 10 basis points then every 10 basis points of ADV can be 1 basis point of slippage.\n",
    "cost = (adv / 0.01) * 0.0010\n",
    "slippage = cost * turnover\n",
    "\n",
    "# Plot total slippage\n",
    "slippage.cumsum().plot(title='Total Slippage', figsize=(14, 5))\n",
    "plt.ylabel('Slippage')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2622beec-d1f7-4344-bfc6-b1479c0a2146",
   "metadata": {},
   "source": [
    "**Notes:**\n",
    "\n",
    "* **Total Slippage**: Is less than 25 basis points for the entire period, assuming a max $1 Million a day transaction.\n",
    "* **Observing Initial High Costs:** You might notice that the transaction costs are considerably higher in the early stages. This is attributed to the Average Daily Volume (ADV) being substantially higher before 2004. As the index gains popularity and trading volume increases, these costs tend to decrease.\n",
    "* **Approach to Slippage in Vectorized Backtesting:** While vectorized backtesting offers computational efficiency, it's generally advisable to omit detailed slippage calculations from this method. The reason is that vectorized backtesting lacks the granularity needed for accurately simulating slippage. Instead, slippage is more effectively computed within a for-loop or an event-driven backtesting framework, where a more precise model can be applied to each trade individually.\n",
    "* **Impact of Liquidity on Slippage:** Be aware that slippage tends to be more pronounced in stocks with lower liquidity. In such cases, even relatively small orders can significantly impact the market price, leading to a larger gap between the expected and executed prices of trades. This factor is particularly important for strategies involving illiquid assets or large trade volumes relative to the asset's trading activity."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "115f2621-c013-4b5a-a286-d2afc549aa12",
   "metadata": {},
   "source": [
    "---\n",
    "## Total Costs\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "7aea0bae-33ee-4bf5-98fa-48ad89c3e077",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "total_costs = slippage + spread + brokerage\n",
    "\n",
    "# Plot total costs\n",
    "total_costs.cumsum().plot(title='Total Costs: Slippage + Spread + Brokerage', figsize=(14, 5))\n",
    "plt.ylabel('Fees')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62fec17b-fe79-4b26-826f-eaf28193aa7d",
   "metadata": {},
   "source": [
    "## Before and After Costs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "b1045493-3445-460c-8555-f87b9d29d0c1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the cumulative rets (compounded growth)\n",
    "# Before costs\n",
    "((strategy_voltgt_returns + 1).cumprod()-1).plot()\n",
    "\n",
    "# After Costs\n",
    "after_cost = strategy_voltgt_returns - total_costs \n",
    "((after_cost + 1).cumprod()-1).plot(figsize = (12, 8))\n",
    "\n",
    "# Plot Cum returns\n",
    "plt.title('Cumulative Returns')\n",
    "plt.legend(['Before Costs', 'After Costs'])\n",
    "plt.ylabel('Total Returns')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "1981187d-9158-4743-a501-fde7f9e737ee",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sharpe Ratio Before: 0.47\n",
      "Sharpe Ratio After: 0.33\n"
     ]
    }
   ],
   "source": [
    "sr_before = strategy_voltgt_returns.mean() / strategy_voltgt_returns.std() * np.sqrt(252)\n",
    "sr_after = after_cost.mean() / after_cost.std() * np.sqrt(252)\n",
    "\n",
    "print(f'Sharpe Ratio Before: {sr_before.round(2)}')\n",
    "print(f'Sharpe Ratio After: {sr_after.round(2)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33347b0f-12d4-4daa-8687-41da8ee9bce3",
   "metadata": {},
   "source": [
    "**Notes:**\n",
    "* Ouch! As you can see, these costs have lowered the sharpe ratio and hurt the total returns.\n",
    "* You can always use QuantStats to plot a tearsheet for the two different performances.\n",
    "\n",
    "\n",
    "---\n",
    "### Conclusion\n",
    "Accurately incorporating these transaction costs into backtesting models is essential for a realistic assessment of a strategy’s performance. Underestimating these costs can lead to an over-optimistic evaluation of a strategy, while overestimating them might unduly discard potentially profitable strategies. The key is to strike a balance, using historical data and realistic assumptions to closely mirror the conditions faced in actual trading."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
